105014240 has 48 divisors (see below), whose sum is σ = 248844960. Its totient is φ = 41879040.

The previous prime is 105014233. The next prime is 105014257. The reversal of 105014240 is 42410501.

It is a super-2 number, since 2×105014240² = 22055981205555200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66581 + ... + 68139.

It is an arithmetic number, because the mean of its divisors is an integer number (5184270).

Almost surely, 2^105014240 is an apocalyptic number.

105014240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105014240 is an abundant number, since it is smaller than the sum of its proper divisors (143830720).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105014240 is a wasteful number, since it uses less digits than its factorization.

105014240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1995 (or 1987 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 105014240 is about 10247.6455832547. The cubic root of 105014240 is about 471.7907240398.

Adding to 105014240 its reverse (42410501), we get a palindrome (147424741).

It can be divided in two parts, 10501 and 4240, that added together give a palindrome (14741).

The spelling of 105014240 in words is "one hundred five million, fourteen thousand, two hundred forty".